Force measuring capacitor

ABSTRACT

A capacitor comprising at least two electrodes separated from one another by an elastic dielectric formed of rubber and/or plastic for measuring forces acting upon one of the electrodes--the so-called measuring electrodes--by detecting the resultant change in capacitance. The dielectric in its unloaded state is pre-compressed and preferably possesses a number of hollow spaces.

BACKGROUND OF THE INVENTION

The present invention relates to a new and improved capacitor having atleast two electrodes separated from one another by an elastic dielectricformed of rubber and/or plastic for measuring forced acting upon the oneelectrode--the so-called measuring electrode--by detecting the resultantchange in capacitance. The invention also concerns a method of measuringforces by means of such capacitor.

Especially in the case of large surface capacitor units there exists abasic problem which arises during the deformation of the elasticdielectric in terms of the limited transverse elongation possibility ofrubber bodies which are clamped at a pressure surface and oppositelysituated base surface. The forces acting upon the pressure surface aredivided into two components, namely into a first component extending inthe direction of deformation and a second component perpendicularthereto, in other words extending in a direction parallel to theelectrodes. The force which extends in the direction of the electrodescauses transverse elongation of the elastic dielectric and, thus,affects the magnitude of the deformation region and thus the measuringregion or range.

In German Pat. No. 1,916,496 of National Research DevelopmentCorporation there is taught to the art a capacitor wherein through theprovision of hollow spaces or voids arranged in the electrodes, there isachieved a more favorable transverse elongation capability of thedielectric. Since in this case the hollow spaces in the electrodes servefor receiving the deformed material of the dielectric, the volume ofsuch hollow spaces must be at least equal in size to the deformationarising during maximum loading of the capacitor, i.e. either thediameter of the hollow spaces must be very large with smaller thicknessof the electrodes or else the electrode thickness must be large when thehole diameter is small. In the first-mentioned instance there, however,arises a weakening of the electrode plates as concerns the strengththereof, and in the last-mentioned case there is present too greatrigidity which is unfavorable for an exact measurement result.Additionally, the force flow in the dielectric is extremely unfavorable,since the transverse elongation force effective in the electrodedirection and derived from the force acting upon the capacitor must befurther deflected at the region of the hollow spaces, and which forcethen extends in a direction opposite to the force which is to bemeasured.

This drawback can be somewhat alleviated by providing a nap-shapeconfiguration of one of both electrode contact surfaces of thedielectric, as taught for instance in German Pat. No. 2,448,398 ofUniroyal Inc. Yet, when improving the flow of the forces in thedielectric there arise however drawbacks in the stability of thedielectric in relation to shear forces acting upon the electrodes, i.e.,each force which does not act exactly perpendicular to the electrode canonly be inaccurately measured due to the losses converted into shearforces.

A particular problem especially as concerns the measurement of dynamicforces resides in the non-linearity of the pressure or compressiondeformation characterisitic of a rubber elastic or elastomericdielectric at the starting region. Here the last part of the recoveryoccurs over a relatively long period of time, so that the accuracy inthe measurement of short successively following forces decreases withincreasing frequency. Force pulses of approximately the same magnitudeand following one another rapidly in succession are only capable ofbeing determined in the form of a uniform capacitance change broughtabout by a static load.

SUMMARY OF THE INVENTION

Hence, with the foregoing in mind it is a primary object of the presentinvention to provide a new and improved capacitor and a method formeasuring forces by the use thereof, in a manner not associated with theaforementioned drawbacks and limitations of the prior art proposals.

Another and more specific object of the present invention aims atconstructing a capacitor of the previously mentioned type for measuringforces while eliminating all of the above-discussed drawbacks concerningthe transverse elongation capability.

Still a further significant object of the present invention aims at anew and improved construction of a capacitor of the previously mentionedtype for measuring forces, while providing an approximate linearity ofthe compression strain or deformation characteristic dependent upon thebehavior of the pressure applied at the capacitor for deformation inorder to optimize the measuring accuracy not only with regard to thedetermination of the maximum value of the effective pressure orcompression, but rather in particular for the exact determination of theentire course of the force as a function of time as well as a particulardynamic behavior of the capacitor wherein it is possible to even moreclearly distinguish from one another forces acting upon the measuringelectrode in succession during a time duration of milliseconds.

Now in order to implement these and still further objects of theinvention, which will become more readily apparent as the descriptionproceeds, the invention contemplates that the dielectric, in itsunloaded state, is pre-compressed and preferably possesses a number ofhollow spaced or voids.

Due to the pre-compression of the dielectric the non-linear part of thecompression strain characteristic--also referred to as the compressionstrain characteristic curve or line--is eliminated for the most part, sothat the dynamic behavior of the capacitor is appreciably increased andthere is suppressed every possibility of there arising oscillationswhich could influence the accuracy of the measurement result.

The hollow spaces also render possible for there to occur at the centerof the dielectric a transverse elongation equal to the marginal zones byvirtue of the deformation, so that there is obtained over the entireregion of the dielectric a uniform deformation resistance, and thus,reproducible results throughout the entire measuring surface region.

The greater transverse elongation capability also results in anincreased compressibility of the dielectric, so that there can beenlarged the measuring range and thus the sensitivity.

Due to the negative pressure in the hollow spaces there is obtained apre-compression of the dielectric in its unloaded state by virtue of thegreater external pressure, so that the start of the measuring range orregion--the so-called null point--is shifted out of the relativelynon-linear starting region extending up to 0.5 deca-Newtons cm² into alinear region.

Additionally, by virtue of the negative pressure it is however alsopossible to positively influence the remaining region of the deformationor strain characteristic line inasmuch as the resistance which becomesincreasingly greater as deformation proceeds and which is caused by thecompression of the gas in the hollow spaces, is eliminated.

An advantageous range of the negative pressure in the hollow spaces isbelow about 0.8 bar, and with increasing negative pressure the startingregion of the compression deformation or strain characteristic which iseliminated by shifting the null point becomes increasingly greater, andthe dynamic behavior is optimized. If the material of the dielectriclocated between the hollow spaces is connected with the electrodesurface confronting the hollow spaces by means of an adhesive devoid ofeasily volatile constituents, then there is also ensured for greaterlongevity since the hollow space-negative pressure remains constant andis not reduced due to vaporization of low boiling constituents. Theadhesive bond of the electrodes is especially of significance asconcerns reduction of the hysteresis since such is the primary cause ofthe pronounced parabolic-like force profile--viewed in the cross-sectionof the dielectric--and at the region of the adhesive bond the shearforces are approximately null and continuously increase towards thecenter. The maximum shear force at the center, immediately after removalof the deformation load, acts as a spring which is effective in thereverse direction, so that during the recovery there is only effectiveintermolecular friction. There is eliminated by virtue of the bond orconnection all friction between the electrode and the material of thedielectric located between the hollow spaces which would otherwiseincrease the hysteresis.

Due to an optimum connection of the material of the dielectric locatedbetween the hollow spaces or voids with the electrode there can beutilized the high elasticity of the steel electrode inasmuch as theelectrode which is deformed in the elastic range entrains, by means ofthe so-called membrane effect, the deformed dielectric material duringthe deformation recovery owing to the appreciably shorter recovery time,so that the hysteresis can be appreciably reduced.

A foil which is adhesive at both faces can be particularlyadvantageously employed both with respect to the requisite uniformity ofthe adhesive layer as well as also as concerns accomplishment of theadhesive bond.

According to a further advantageous possibility of achieving the bond orconnection when using rubber as the material of the dielectric locatedbetween the hollow spaces, there is also contemplated achieving theconnection with the electrodes by vulcanization, whereby there iscompletely eliminated the problem of a uniform adhesive layer.Additionally, there is realized a clear linearization of the deformationor strain characteristic line at the region of the maximum load, andwhen using an adhesive there results a curvature due to the flowthereof.

An advantageous feature of the invention which combines the advantagesobtained by the hollow space-negative pressure additionally with theadvantage of overcoming the excess pressure effective at the upperelectrode, is realized in that both electrodes are interconnected bystrands formed of electrically insulating material. These strands aresubjected to a tensile load or stress and are arranged in the hollowspaces and extend in a direction perpendicular to the electrodes. Thesestrands should possess an extremely low elasticity and a highflexibility, as is afforded for instance by glass cords or polyamidefibers.

In this manner there can be realized, similar to the use of a hollowspace-negative pressure a pre-compression of the dielectric in itsunloaded state in that the length of the stretched strands arrangedbetween the electrodes is shorter by the amount of the desiredpre-compression than the thickness of the elastic dielectric in itsunloaded state. The advantage of this resides in the fact that in thecase of the negative pressure prevailing in the hollow spaces there iseliminated the excess pressure effective at the upper electrode andpreventing the deformation recovery, so that it is possible to reducethe hysteresis to a negligible minimum of a few percent. Byappropriately increasing the bending strength of the strands it isadditionally possible to augment the recovery by means of their springaction in the bent state, and the deformation of the dielectric andbeing of the strands is increased by an appropriate value.

What is especially important for the degree of the deformation of thedielectric and therefore also for obtaining an exact measurement resultis the relationship of the surface of the dielectric which is in contactwith the electrodes to the outer or jacket surface of the hollow spaces.This ratio or relationship, designated as the form factor, especiallywhen utilizing the invention in the field of biomechanics where thedeformation of the dielectric is small, should amount to between about0.2 to about 0.7, preferably between about 0.3 to about 0.5. A formfactor exceeding 0.7 means that the deformation path and thus themeasuring range are very small, so that there is also impaired theaccuracy of the measurement result. Additionally, it is extremelydifficult to realize a linearity of the deformation or straincharacteristic lines.

While falling below the lower boundary of about 0.3 would indeed resultin a further increase of the measuring range, nonetheless the ratio orrelationship of the web height to the web width of the webs locatedbetween the hollow spaces would be unfavorable to such an extent thatduring deformation there would be produced kinks and thus irregularitiesin the compression strain characterisitc curve or line. It is thereforeadvantageous if the small web width between two hollow spaces isapproximately equal to the web height.

A further advantageous feature of the invention resides in reduction ofthe transverse elongation forces arising during deformation in thedielectric and resides in the feature that the material of thedielectric located between the hollow spaces is of cellular structure.As a result, in addition to the hollow spaces it is also possible tocompress the preferably open cells, so that with constant form factor itis possible to appreciably increase the deformation path.

By providing a convex doming or arching of the cylindrical jacketsurface of the hollow spaces, it is possible to reduce the shear andtension stresses which particularly arise at the direct deformationregion of the jacket surface, so that it is possible to impart linearityto the compression strain characteristic line especially at its end orterminal region.

A recoil elasticity of the material of the dielectric located betweenthe hollow spaces exceeding about 70%, preferably beyond about 80%(measured according to DIN (German Industrial Standard) 53.512 of July1976) is indispensable, especially in order to minimize the hysteresis.Equally of advantage is a compression deformation remnant--measuredaccording to DIN 53.517 of January 1972--of less than about 5%,preferably less than about 3%, to ensure for a low fatigue of thedielectric.

The optimization of the measuring accuracy which can be realized due tothe special configuration of forming of the dielectric can beunfavorably affected by using an unsuitable electrode material. It isfor this reason that particularly in the presence of relatively lowpressures, the measuring electrode to which there is applied the forceto be measured should be formed of high elastic steel having an elasticlimit exceeding about 900 Newton per mm² and a thickness of about 0.1 toabout 0.8 mm. Consequently, it is possible to nonetheless eliminate anypermanent deformation owing to the high elastic limit with lesserelectrode thickness which increase the flexibility and additionallyshortens the recovery time owing to the reduced mass. The extremelyshort recovery time of high elastic steel additionally has thebeneficial result of reducing the hysteresis due to the previouslymentioned membrane effect.

By providing a grid-shaped construction of the electrodes, it ispossible to appreciably reduce their contact or support surface, so thatchanging the spacing of the electrodes with respect to one anotherproduces a lower resistance of the material of the dielectric locatedbetween the hollow spaces. In other words: the sensitivity isappreciably increased.

It is especially advantageous to provide a waveshaped construction ofthe capacitor--viewed in cross-section--for the bending of the inventivecapacitor for measuring forces impinging upon a curved plane.

In order to reduce the spacing of both electrodes relative to oneanother, such can possess profiled or structured portions which protrudeinto the dielectric. As a result, it is possible to use thickerdielectrics for increasing the measuring range, without having to accepta disadvantageous minimum capacitance change.

If desired, the electrodes can be formed of electrically conductiverubber or plastic, so that both the electrodes as well as also thedielectric are practically identical as concerns their chemical andespecially mechanical properties, and furthermore, it is possible toform surfaces of higher order without difficulties. The connection ofthe electrode and the dielectric is homogeneous and is accomplishedwithout having to resort to the aid of an adhesive, so that it istherefore possible to eliminate the problem of the flow of the adhesive,especially at maximum load.

According to a further advantageous construction of the invention foroptimizing the compression deformation and the therewith correspondingcapacitance change, it is possible to construct at least one of theelectrodes so as to possess holes at the region of the material locatedbetween the hollow spaces. These holes provide a further elongationcapability for the deformed material of the dielectric.

It is possible to electrically screen the capacitor from disturbingeffects while avoiding unfavorably influencing the linearity of thecompression strain or deformation characteristic lines which areobtained by the use of hollow spaces, negative pressure and the like, byelectrically connecting a metal foil enclosing the reference electrodewith the measuring electrode.

An advantageous construction of capacitor for measuring and locatingpressures of a relatively large measuring surface which are effective ata relatively small surface resides in subdividing at least one electrodeinto a number of mutually independent electrode plates. The course ofthe force can be exactly localized by mutually separately detecting thecapacitance change of the individual capacitors at a co-ordinate system.If both electrodes consist of individual partial electrodes, then it isalso possible in accordance with the degree of the mutual displacementin the direction of the electrode, to measure shear forces.

When using hollow spaces it is advantageous if such are mutuallyseparated from one another in an airtight fashion, whereby the gaslocated at the region of the deformed location of the measuringelectrode in the hollow spaces is not displaced into the remaininghollow spaces and at that location enlarges the electrode spacing due tothe pressure build-up and thus falsifies the measurement result.

Techniques for measuring forces randomly occurring as a function of timeas well as locally randomly occurring within a predetermined surfacehave been employed, in among other fields, for measuring axle loadsi.e., the vehicle frequency upon roads or the like, the affect of theforce of a movement or the like. While in the first-mentioned field ofuse there is only of interest the maximum value of the deformation,corresponding to the weight of the vehicle and the axle pressure, withthe frequency measurement there is only counted a pulse caused byloading of the capacitor. With all measuring techniques of theaforementioned type it is necessary immediately after disappearance ofthe effective force component to again assume the starting position--theso-called null point position--in order to be able to measure furtherforce components directly following the first force component and whichare smaller in magnitude. It is for this reason that heretofore knownforce measuring devices, wherein an absolutely rigid measuring plate ismounted at its corners upon quartz crystals in the form of a rigidbridge construction and the forces of which acting upon the measuringplate are measured by means of the piesoelectric effect, must have theirmeasuring surface dimensioned to be relatively small. Further, on theone hand, the mass inertia of the measuring plate which impairs thedynamics of the measuring operations is still insignificant whenperforming the previously mentioned determination of maximum values witha measuring error of a few percent which is acceptable for this purpose,and, on the other hand, the oscillations which occur after relieving themeasuring plate of load are still controllable and do not have anyparticular effect upon the measurement result.

The consequences resulting from the small dimensioning of the measuringsurface, particularly in the field of athletics, biomechanics,orthopaedics, ergonomics, and so forth, resides in the predeterminedspatial limitation of the course of the movement to be checked and thethus resultant deviations from the natural movement course.

It is an important object of the method of the invention for measuringforces randomly occurring with respect to time as well as locally withina predetermined surface, to especially be able to measure movementcourses without any limitations as concerns time and spatially withregard to the measuring technique and to obtain a high measuringsensitivity as well as a large measuring range for the exactdetermination of the force components acting upon the capacitor as wellas to obtain a particularly dynamic measuring method.

Now in order to implement this objective, the invention contemplateshaving the forces effective at a measuring electrode of the capacitor,which measuring electrode corresponds to the predetermined surface. Thecapacitor contains a rubber elastic or elastomeric dielectric, andfurthermore, there is plotted the course as a function of time of thecapacitance changes of the capacitor which correspond to the effect ofthe force.

By utilizing an elastomeric dielectric there is provided for themeasuring plate--the measuring electrode--a contact or support surfacewhich is uniform over the entire measuring surface, so that withoutconsideration of a high rigidity or stiffness of the measuring electrodesuch can be constructed in cross-section to be smaller and with the samemass correspondingly greater in surface.

Due to the exact plotting of the force-time-relationship, correspondingto the course of the force pulses acting upon the capacitor, in the formof capacitance changes as a function of time, it is possible to carryout diagnostic tests as well as therapeutic or remedial controls in thecase of vehicle collisions or damage, and experiments concerning anoptimum work space layout with individually accommodated work conditionsand the like. Furthermore, due to the high measuring sensitivity, alarge measuring range of several g/cm² to 70 kg/cm² and a relatively lowmeasuring error of a few percent, it is possible to alreadydifferentiate between slight changes in the intensity of a number offorce components.

The deformation surface of the capacitor which is small in relation tothe total capacitor surface and corresponding to about twice to aboutthree times the force contact surface, owing to the correspondingly lowelectrode mass brings about a dexterous recovery of the deformed regionto the null point position, so that even during the course of time thereclearly appear rapidly changing force components and there can beprecisely analysed a movement course, in that the capacitance change,corresponding to the deformation of the capacitor, can be detected andplotted in the form of a force-time relationship characteristic of themovement course.

The partial deformation of the capacitor with the thus resultingadvantages renders the inventive measuring technique independent of thesize of the measuring surface. Consequently, there are eliminated alllimitations of a temporal, spatial and physiological nature which couldimpair the measurement result.

Hence, in accordance with the inventive method, there can be detectedand analysed, for instance during athletic long jumps the entire forcecourse from the beginning of the running start until jumping-off, if theaforementioned start takes place at a correspondingly long constructedcapacitor.

A high sensitivity is of extreme importance for the evaluation of theexact course of the force, and which, according to the inventive method,can be realized by virtue of the lesser deformation resistance of theelastomeric dielectric which results from the partial deformation.

BRIEF DESCRIPTON OF THE DRAWINGS

The invention will be better understood and objects other than those setforth above, will become apparent when consideration is given to thefollowing detailed description thereof. Such description makes referenceto the annexed drawings wherein generally throughout the various Figuresthe same reference characters have been employed for the samecomponents, and wherein:

FIG. 1 illustrates in perspective view a capacitor constructed accordingto the teachings of the present invention;

FIG. 2 is a view like FIG. 1 showing a modified construction ofcapacitor;

FIG. 3 is a cross-sectional view of a further construction of capacitor;

FIG. 4 is a perspective view of another embodiment of capacitor;

FIG. 5 illustrates in perspective view still a further construction ofcapacitor;

FIG. 6 is a fragmentary view showing details of a dielectric which maybe used in the capacitor constructions of the invention;

FIG. 7 is a cross-sectional view of a capacitor constructed according tothe invention and employing strands for interconnecting the electrodesthereof;

FIG. 8 illustrates in cross-sectional view another embodiment ofcapacitor;

FIGS. 9-14 respectively illustrate compression deformation or straincharacteristic curves or lines, sometimes referred to herein as simplycompression deformation or strain characteristics;

FIG. 15 is a block circuit diagram of a preferred electronic forcemeasuring arrangement for detecting signals analogous to the capacitancechanges and employing the principles of the invention;

FIG. 16 is a curve showing the course of the force of a ball impingingupon a capacitor constructed according to the present invention;

FIG. 17 illustrates in cross-sectional view a further embodiment ofcapacitor; and

FIG. 18 is a perspective view of still another construction ofcapacitor.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Describing now the drawings, the dielectric 4 covered at its top andbottom faces by the electrodes 2 and 3, respectively, according to apreferred constructional manifestation of the invention will be seen tocontain substantially cylindrical-shaped hollow spaces or voids 5. Thesehollow spaces 5 reduce the form factor and thus increase thecompressibility of the dielectric 4. This not only increases themeasuring range, but also results in a considerable linearization of thecompression deformation or strain characteristic curve or line. Inparticular, the start of this compression strain characteristic line orcharacteristic can be further linearized, for instance by partiallyevacuating the gaseous medium located in the gas-tight closed hollowspaces 5. The resulting negative pressure preferably amounts to betweenabout 0.3 to about 0.7 bar. By virtue of the negative pressure there isobtained a pre-compression of the dielectric 4 in the unloaded state ofthe electrodes 2 and 3, so that as concerns the linearity of theforce-deformation relationship there are not introduced at all into theresult the particularly critical starting region of the compressiondeformation characteristic and there can be exactly carried out adynamic force measurement.

A further possibility for pre-compressing the dielectric 4 in theunloaded state of the capacitor can be achieved, according to theconstruction of capacitor shown in FIG. 7, by connecting both of theelectrodes 2 and 3 by means of electrically insulating strands 7 havingan extremely high tensile strength and a low bending strength. Thesestrands 7 in their stretched or elongated state retain both of theelectrodes 2 and 3 at a spacing from one another. This electrode spacingis smaller than the thickness of the dielectric 4 in its noncompressedstate by an amount corresponding to the desired pre-compression which isdependent both upon the material of the dielectric as well as also uponthe desired accuracy of the measurement result at the region ofrelatively lesser pressures. In order to prevent falsification of thestrived for exact measurement result, the resistance of the strands 7must only be inappreciably high with respect to bending-through.

At the right-hand part of FIG. 7 there is shown in cross-section thecapacitor in a compressed state by virtue of the applied force. Thecross-section of the strands 7 must be smaller than the cross-section ofthe hollow spaces 5 to allow unhindered bending-through or buckling.

A further possibility of pre-compressing the dielectric 4 can beobtained, as shown in FIG. 17, by using an electrically non-conductiveframe or housing 25 which is fixedly connected with the electrode 3,constituting a reference electrode, and the height of which is smallerthan the thickness of the capacitor 1 in its unloaded state. This frame25 engages with marginal regions or edges of the rigid electrode 2constituting the measuring electrode.

In order to prevent falsification of the measurement result with adifferent high air pressure when working, for instance, with differentelevational positions of the inventive capacitors, it is possible for acapacitor which is separate from the measuring surface to be integratedin such a manner into the circuit arrangement that there areautomatically compensated air pressure fluctuations.

The different possibilities of configuring the cross-section of thecapacitor as shown in FIGS. 2 and 3, both by changing the shape of thehollow spaces 5a extending through the dielectric 4, as shown in FIG. 2,as well as also by changing the entire cross-section of the capacitor,as shown in FIG. 3, is dependent upon both the used material as well asthe field of use. The hollow spaces 5a at the left and right of FIG. 2have a jacket surface or contour which is convexly arched or domed.Also, in FIG. 3 the electrodes 2 and 3 and dielectric 4 will be seen tohave an undulating or wave-shaped configuration.

Moreover, for instance, the arrangement of the hollow spaces 5a in adirection extending parallel to the electrodes 2 and 3, as shown in FIG.2, advantageously can be employed for detecting maximum values, whereasorienting the hollow spaces 5 in a direction perpendicular to theelectrodes 2 and 3, as shown for instance for the capacitor 1 of FIG. 1,is more suitable for observing the total force-time relationship as wellas the pre-compression of the dielectric 4.

The grid-shaped construction of the electrodes 2 and 3, as shown in theembodiment of FIG. 4, enables obtaining a high flexibility of thecapacitor with as low as possible shear forces at the region of theconnection between the electrodes 2 and 3 and the dielectric 4.Additionally, due to the smaller contact surface of the electrodes 2 and3 there is realized a reduction of the forming or molding resistance inthe dielectric and thus there is obtained an increase of thesensitivity. To protect the electrodes from damage of the most variedtype, the same also can be embedded in the dielectric, i.e. can besurrounded at all sides by the dielectric.

Now as shown in FIG. 5, the electrodes 2 and 3 can be subdivided into anumber of smaller electrodes 2.1, 2.2, 2.3 and so forth. Due to thisconstruction it is possible during separate detection of the individualpairs of electrodes, to exactly measure point-like forces acting uponthe measuring surface, the contact locations of which cannot be exactlypredetermined by means of the inventive measuring system, byappropriately overdimensioning the electrode surface, and furthermore,also can be exactly located in their position. Additionally, shearforces can be measured in accordance with the degree of the mutualdisplacement of the oppositly situated electrode sections or electrodes2.1, 2.2, 2.3 and so forth.

Such type measuring arrangement could be, for instance, conceivablyemployed for an appropriately modified tennis racket for measuring theimpact force as well as for locating the impact of the tennis ball andfor possibly optimizing the impact as well as continuously monitoringthe hitting of the ball.

Continuing, in FIG. 6 there is shown an optimim distribution of theequal size hollow spaces 5 extending in a direction perpendicular to theelectrodes 2 and 3 in order to obtain a deformation resistance which isuniform throughout the entire cross-section of the dielectric 4. Thespacing of the hollow spaces directly surrounding one hollow space inrelation to one another as well as also in relation to the surroundedhollow space is always equal, so that the minimum web width S locatedbetween the hollow spaces 5 likewise is always constant.

The pressure surface D affording resistance against deformation--thispressure surface constituting the surface of the dielectric reduced bythe area of the hollow spaces--can be calculated by the followingequation: ##EQU1##

This pressure surface D in relation to the outer or jacket surface--2RπH(wherein H represents the thickness of the dielectric)--is designated asthe form factor and, apart from the deformation resistance of thedielectric which is dependent upon the pressure surface D, alsoconstitutes a measure for the measuring range which is essentiallydependent upon the thickness.

The measurement of influences disturbing the capacitance change can beeliminated by constructing a Faraday cage. A preferred embodimentresides in leading a grounded metal foil 8 which is conductivelyconnected with the upper measuring electrode 2, at which there isapplied the force to be measured, around the reference electrode 3, asbest seen by referring to FIG. 8. To prevent short-circuits it isnecessary to provide an electrical insulation between the lowerelectrode 3 and the metal foil 8. Advantageously, this can be achievedby the arrangement of a support 9 beneath the lower electrode 3 andwhich support is utilized for reinforcement of the capacitor.

The support or substrate 9 preferably consists of grid-shaped arrangedprofile or structural members formed of plastic and cast in a syntheticresin. In this way there can be obtained an exceedingly small weight anda very high bending strength. The bending strength is of particularsignificance inasmuch as for protection of the connection of theelectrodes and dielectric, which are subjected to special loads due tobending-through when a large size measuring unit is manually transportedfor instance, it is absolutely necessary to avoid shear stresses in thedirection of the electrodes 2 and 3.

A further possibility of obtaining a particularly bending resistantplate for this purpose would be to form the same, for instance, as aglass fiber reinforced polyester plate.

In FIGS. 9-13 there are illustrated compression strain characteristiccurves or characteristics of sample bodies e.g. constituting dielectricsfor the capacitors and formed of the same natural rubber mixture. Thesecompression strain characteristics differ appreciably from one anotherby virtue of the most different effects, such as form factor, adhesivebond or the like.

The curves shown along the abscissa the deformation in percent relatedto the original thickness of the sample body, and along the ordinatethere is plotted the magnitude of the applied pressure indeca-Newton/cm².

The samples from which there have been plotted the compression straincharacteristic lines shown in FIGS. 9-11 are each 10 mm thick, clampedbetween two electrode plates which, however, are not adhesively bondedwith the sample body constituting the dielectric, and do not have anyhollow spaces. The difference is predicatable upon the form factor whichis dependent upon the ratio of the pressure or compression surface tothe surface of the sample body which is perpendicular thereto, the formfactor in FIG. 9 amounting to 0.5, and in the further Figures to 0.75and 1.0.

Each graph will be seen to consist of two lines, of which the one linedesignated by reference character a denotes the course of thecompression strain during deformation, whereas the line b designates theafore-mentioned course during the recovery of the sample body. Thedifference of both integrated surfaces is considered as the hysteresisloss or also as the dampening.

The characteristic curves basically show the problem of non-linearity,especially at the starting region and the thus resultingnon-proportionality of the relationship of the force to the momentarilyarising capacitance change. This non-proportionality is extremelydisadvantageous for an exact measurement result and especially for thedetermination of the total force-time course for comparativeobservations in the field of biomechanics. Of even greater disadvantageas to its effect is the significantly higher deviation of thedeformation recovery line b from the linearity and particularly from thedeformation line a.

The reason for this non-linear course of the compression straincharacteristic curve and the hysteresis reside in the structure of therubber and elastomer composed of chain molecules which are interlinkedwith one another, and therefore, cannot be eliminated from thisstandpoint. In accordance with the objective of the invention it wasattempted to influence the transverse elongation possibility extendingperpendicular to the deformation directon in such a manner that therewas obtained as extensive as possible linearization both of thedeformation curve as well as also the recovery curve. This wasaccomplished by changing the form factor, by imparting the mostdifferent shapes to the hollow spaces piercingly extending through thedielectric, by partially evacuating the air out of the gas-tight sealedhollow spaces and the like.

As the characteristics or characteristic curves of FIGS. 9-11 clearlyshow, the linearity has been appreciably improved merely be reducing theform factor, i.e., either with constant thickness of the dielectric byreducing the pressure surface or with constant pressure surface byincreasing the thickness, or by a sensible combination of both of thesefeatures.

The compression strain curves of FIGS. 12 and 13 already almostapproximate linear curves, and the same can be particularly realized byperforating the sample body, i.e., the dielectric. Further,optimumization, especially at the starting region, can be expected byadhesively bonding the dielectric with the electrode (FIG. 13).

A further optimumization can be realized by partially evacuating the gasin the hollow spaces, so that there is formed a negative pressure ofabout 0.5 bar (FIG. 14).

A preferred and optimum measuring arrangement for detecting, plottingand storing the analog signals derived from the capacitance change hasbeen illustrated in FIG. 15 by way of example.

The capacitance change dependent upon the force which is to be detectedand acting upon the measuring electrode 2, in turn produces an untunedstate at the carrier frequency bridge TF. The output signal can beeither immediately recorded at the oscilloscope 50 and/or at therecorder 52. A further possibility, especially of importance in thefield of biomechanics, resides in storing in the memory 58 the digitalsignals converted in the analog-digital converter 54. In this way thereis possible an elongation and thus an exact evaluation of the force-timecurve. The microprocessor 56 is used as a control and can appropriatelymodify the measurement result depending upon the most different field ofapplication of the capacitor.

Now in FIG. 16 there is plotted the force as a function of time uponimpact of an approximately 0.5 kg heavy ball against a capacitorconstructed according to the teachings of the invention. The impactvelocity of the ball amounted to 44.8 km/h, the duration of the impactat the capacitor amounted to about 8 milliseconds. Of particularsignificance is the symmetric course of the curve, essentially obtainedby eliminating the non-linear starting region of the load characteristiccurve as well as by linearization of the unloading or recoverycharacteristic curve. What is particularly worthy of mention is also theextremely short recovery time of about 4 milliseconds, following whichthere is almost completely eliminated the prior deformation. This briefrecovery time is particularly attainable by virtue of theafore-described pre-compression and the afore-mentioned membrane effect.

An advantage of biomechanics which is particularly appreciated byathletes resides in the training possibilities for a movement coursewhich is recognized to be optimum and which can be learned bycontinually observing the force-time relationship at the oscilloscope50.

Other fields of use of the invention are of course, for instance, in thefield of ergonomics for improving conditions at the work site, theoptimumization of shapes or forms causing flow conditions, monitoringthe state of structures, especially bridges, measuring axle loads or thelike.

Finally, the modified version of capacitor 1, shown in FIG. 18, has atleast one of the electrodes, here the electrode 2, provided with holes26 at the region of the dielectric material between the hollow spaces 5.

In the context of this disclosure it is here further mentioned that theterm "elastomeric", where appropriate, is used in its broader sense toencompass both rubber and synthetic materials, such as plastics.

While there are shown and described present preferred embodiments of theinvention, it is to be distinctly understood that the invention is notlimited thereto, but may be otherwise variously embodied and practicedwithin the scope of the following claims. ACCORDINGLY,

What we claim is:
 1. A capacitor comprising:a pair of separateelectrodes, one of which electrodes defines a measuring electrode; anelastic dielectric interposed between said pair of electrodes and havinga plurality of air containing chambers, for separating said electrodesfrom one another; said elastic dielectric being formed from a materialselected from the group consisting of rubber, plastic and mixtures,thereof; said electrodes serving for the measurment of forces actingupon said measuring electrode by detecting resultant capacitancechanges; and said plurality of air containing chambers having an airpressure that is less than normal atmospheric air pressure.
 2. Thecapacitor as defined in claim 1, wherein said air pressure is within therange of about 0.9 bar and 0.3 bar.
 3. The capacitor as defined in claim2, wherein:said dielectric material located between said chambers andsaid electrode surfaces facing said chambers are basically free of veryvolatile components.
 4. The capacitor as defined in claim 3,wherein:said dielectric material located between said chambers isconnected with said electrodes by an adhesive; and said adhesive is freeof very volatile components.
 5. The capacitor as defined in claim 3wherein:said dielectric material located between said hollow chambers isconnected to said electrodes by a foil having adhesive on both sidesthereof.
 6. The capacitor as defined in claim 3, wherein:said dielectricmaterial located between said chambers is connected to said electrodesby vulcanization.
 7. The capacitor as defined in claim 1, wherein:theratio of the surface of said dielectric material in contact with saidelectrodes to the outer surface of said hollow chambers, has a formingfactor in the range of about 0.2 to 0.7.
 8. The capacitor as defined inclaim 4, wherein:the dielectric material between neighboring chambersdefines cross bars, wherein the smallest cross bar width between twochambers is approximately equal to the height of said cross bar.
 9. Thecapacitor as defined in claim 1, wherein said dielectric materiallocated between said hollow chambers has a cellular structure.
 10. Thecapacitor as defined in claim 2, wherein said chambers are cylindricalin shape having an outer surface curved in a convex manner.
 11. Thecapacitor as defined in claim 1, wherein said dielectric materiallocated between said plurality of chambers has a resilient elasticity ofgreater than 70%, as measured in accordance with German IndustrialStandard 53.512.
 12. The capacitor as defined in claim 1, wherein saiddielectric material located between said chambers has a residualcompression strain of less than 5%, as measured in accordance withGerman Industrial Standard 53.517.
 13. The capacitor as defined in claim1, wherein:said measuring electrode is formed of highly elastic steelhaving an elastic limit exceeding about 900 Newton/mm² and a thicknessin the range of about 0.1 to about 0.8 millimeters.
 14. The capacitor asdefined in claim 13, wherein: said thickness of the measuring electrodeis in a range of about 0.3 to about 0.7 millimeters.
 15. The capacitoras defined in claim 13, wherein:at least one of said electrodespossesses a substantially grid-shaped configuration.
 16. The capacitoras defined in claim 1, wherein:said two electrodes and said dielectricare structured so as to impart a substantially wave-shapedcross-sectional configuration to the capacitor.
 17. The capacitor asdefined in claim 13, wherein: at least one of the electrodes containsprofiled portions protruding into said dielectric.
 18. The capacitor asdefined in claim 1, wherein at least one of said electrodes consists ofone material from a group of electrically conductive rubber and plastic.19. The capacitor as defined in claim 1, wherein:at least one of saidelectrodes is provided with holes at the region of the material of thedielectric located between the chambers.
 20. The capacitor as defined inclaim 1, wherein:the other of said electrodes defines a referenceelectrode; electrical screening means spaced from said referenceelectrode an amount equal to at least five times the size of thethickness of the capacitor.
 21. The capacitor as defined in claim 20,wherein: the spacing of said electrical screening means from saidreference electrode amounts to at least ten times the size of thethickness of the capacitor.
 22. The capacitor as defined in claim 20,further including:a grounded metal foil surrounding said referenceelectrode and electrically conductively connected with said measuringelectrode.
 23. The capacitor as defined in claim 1, wherein saidchambers are separated from each other in an airtight fashion.
 24. Thecapacitor as defined in claim 1, especially for measuring and locatingforces of a relatively large measuring surface and which forces act upona relatively small surface, wherein:at least one of said electrodes issubdivided into a number of mutually independent electrode plates.